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Sharp estimates of best approximations by deviations of Weierstrass-type integrals. / Vinogradov, O.L.

In: Journal of Mathematical Sciences, No. 6, 2013, p. 628-638.

Research output: Contribution to journal › Article › peer-review

Harvard

Vinogradov, OL 2013, 'Sharp estimates of best approximations by deviations of Weierstrass-type integrals', Journal of Mathematical Sciences, no. 6, pp. 628-638. https://doi.org/10.1007/s10958-013-1551-y

APA

Vinogradov, O. L. (2013). Sharp estimates of best approximations by deviations of Weierstrass-type integrals. Journal of Mathematical Sciences, (6), 628-638. https://doi.org/10.1007/s10958-013-1551-y

Vancouver

Vinogradov OL. Sharp estimates of best approximations by deviations of Weierstrass-type integrals. Journal of Mathematical Sciences. 2013;(6):628-638. https://doi.org/10.1007/s10958-013-1551-y

Author

Vinogradov, O.L. / Sharp estimates of best approximations by deviations of Weierstrass-type integrals. In: Journal of Mathematical Sciences. 2013 ; No. 6. pp. 628-638.

BibTeX

@article{bf09aec1254c45e69a483954dc04f28a,
title = "Sharp estimates of best approximations by deviations of Weierstrass-type integrals",
abstract = "We establish the estimates (Formula presented.) where W is a kernel of special type that is integrable on R and A σ(f)P is the best approximation of a function f with respect to a seminorm P by entire functions of exponential type not greater than σ. For the uniform and integral norms, we find the least possible constant K. The estimates are obtained by linear methods of approximation. Bibliography: 7 titles. {\textcopyright} 2013 Springer Science+Business Media New York.",
author = "O.L. Vinogradov",
year = "2013",
doi = "10.1007/s10958-013-1551-y",
language = "English",
pages = "628--638",
journal = "Journal of Mathematical Sciences",
issn = "1072-3374",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - Sharp estimates of best approximations by deviations of Weierstrass-type integrals

AU - Vinogradov, O.L.

PY - 2013

Y1 - 2013

N2 - We establish the estimates (Formula presented.) where W is a kernel of special type that is integrable on R and A σ(f)P is the best approximation of a function f with respect to a seminorm P by entire functions of exponential type not greater than σ. For the uniform and integral norms, we find the least possible constant K. The estimates are obtained by linear methods of approximation. Bibliography: 7 titles. © 2013 Springer Science+Business Media New York.

AB - We establish the estimates (Formula presented.) where W is a kernel of special type that is integrable on R and A σ(f)P is the best approximation of a function f with respect to a seminorm P by entire functions of exponential type not greater than σ. For the uniform and integral norms, we find the least possible constant K. The estimates are obtained by linear methods of approximation. Bibliography: 7 titles. © 2013 Springer Science+Business Media New York.

U2 - 10.1007/s10958-013-1551-y

DO - 10.1007/s10958-013-1551-y

M3 - Article

SP - 628

EP - 638

JO - Journal of Mathematical Sciences

JF - Journal of Mathematical Sciences

SN - 1072-3374

IS - 6

ER -

ID: 7519684